TL;DR
This paper introduces Hall bases for free Leibniz algebras by adapting the classical Hall basis construction from free Lie algebras, providing a new foundational tool for Leibniz algebra theory.
Contribution
It develops a modified Hall basis construction specifically for free Leibniz algebras, extending classical Lie algebra methods to Leibniz algebras.
Findings
Constructed Hall bases for free Leibniz algebras
Established properties analogous to classical Hall bases
Provided a framework for further algebraic investigations
Abstract
The aim of this article is to introduce Hall bases of free Leibniz algebras. We modify the classical notion of Hall bases for free Lie algebras in order to provide the similar construction for the case of Leibniz algebras.
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